20010302400 has 504 divisors, whose sum is σ = 72988578432. Its totient is φ = 4795648000.

The previous prime is 20010302341. The next prime is 20010302401. The reversal of 20010302400 is 420301002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010302401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76084669 + ... + 76084931.

It is an arithmetic number, because the mean of its divisors is an integer number (144818608).

Almost surely, 2^20010302400 is an apocalyptic number.

20010302400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20010302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36494289216).

20010302400 is an abundant number, since it is smaller than the sum of its proper divisors (52978276032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20010302400 is a wasteful number, since it uses less digits than its factorization.

20010302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20010302400 its reverse (420301002), we get a palindrome (20430603402).

The spelling of 20010302400 in words is "twenty billion, ten million, three hundred two thousand, four hundred".